Marinelli, C;
Scarpa, L;
(2018)
A note on doubly nonlinear SPDEs with singular drift in divergence form.
Rendiconti Lincei-Matematica e Applicazioni
, 29
(4)
pp. 619-633.
10.4171/RLM/825.
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Abstract
We prove well-posedness for a class of second-order SPDEs with multiplicative Wiener noise and doubly nonlinear drift of the form − div γ(∇·) + β(·), where γ is the subdifferential of a convex function on R d and β is a maximal monotone graph everywhere defined on R, on which neither growth nor continuity assumptions are imposed.
| Type: | Article |
|---|---|
| Title: | A note on doubly nonlinear SPDEs with singular drift in divergence form |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/RLM/825 |
| Publisher version: | https://doi.org/10.4171/RLM/825 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Stochastic PDEs, monotonicity, divergence-form equations |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10066635 |
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